In given problem suppose the possible values for x are now, Basic Statistics

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In given problem suppose the possible values for x are now

In given problem, suppose the possible values for x are now 0, 2, 4 with the same probabilities as before. Will the standard deviation increase, decrease, or stay the same? Verify your answer.

Problem
if the possible values for x are 1, 2, 3, 4, 5 with probabilities .2, .1, .1, .5, .1, respectively, what are the population mean, variance and standard deviation?

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Basic Statistics: In given problem suppose the possible values for x are now

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Basic Statistics: In given problem suppose the possible values for x are now

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